A heat sink is arranged on a main circuit board of an electronic module. The heat sink includes a three-dimensionally structured thermally conductive plate with a press-on region and with snap-action hooks. The snap-action hooks are arranged approximately at right angles with respect to the press-on region and are resiliently connected to the press-on region. The snap-action hooks are latched into place, with pressure generation of the press-on region onto a rear side of a surface-mountable semiconductor device, into corresponding passage openings of the circuit board. A plastically deformable thermal composition is disposed between the rear side of the semiconductor device and the press-on region of the heat sink so as to form an intermediate layer therebetween to provide compensation for the thickness tolerances of the semiconductor device.